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Finding the Fourth Proportional to 2,902.76, 4,354.68 and 955.04

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Solution

The fourth proportional to 2,902.76, 4,354.68 and 955.04 is: 1,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.76 : 4,354.68 = 955.04 : x
  2. Step 2: Convert to fraction form
    2,902.76/4,354.68 = 955.04/x
  3. Step 3: Cross multiply
    2,902.76x = 4,354.68 × 955.04
  4. Step 4: Simplify right side
    2,902.76x = 4,158,893.59
  5. Step 5: Solve for x
    x = 4,158,893.59/2,902.76
  6. Step 6: Final answer
    x = 1,432.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.